Algebras and differential equations with additive symmetry

DOI10.1080/03081089208818136zbMath0763.17001OpenAlexW2068596349MaRDI QIDQ4013318

David R. Finston

Publication date: 27 September 1992

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089208818136

zbMATH Keywords

nilpotent derivationdimension formulasClebsch-Gordan formulaexplicit basesbinary algebrasfinite dimensional \(m\)-ary algebrasnormal forms of differential equations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (1)

Reduction and reconstruction for symmetric ordinary differential equations

Cites Work

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• Endomorphisms and null subalgebras of finite dimensional algebras revisited
• Endomorphisms and null subalgebras of finite dimensional algebras
• Dimensionally nilpotent Lie algebras
• Linear \(G_a\) actions on affine spaces and associated rings of invariants
• Über die Invarianten von linearen Gruppen
• ON THE BEHAVIOR IN THE EUCLIDEAN OR LOBACHEVSKY PLANE OF TRAJECTORIES THAT COVER TRAJECTORIES OF FLOWS ON CLOSED SURFACES. I
• An algorithm for explicit generators of the invariants of the basic G_a—actions

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